From Euclid's elements to cosserat continua

• Autorzy: Povstenko J.
• Języki publikacji: EN

Abstrakty

EN

The classical continuum theory is based on the assumption that each small particle behaves like a simple material point and ignores the relative motions of constituent parts of this particle. The development of the notion of a point and the development of non-Eeuclidean geometry is considered. The Cosserat continuum is an example of medium with microstructure, in which "a ponit" has an internal structure. Its motion is determined by the displacement and rotation fields.

Słowa kluczowe

EN

Euclidean geometry; continuum theory; continuum model; field theory; mathematical physics

PL

geometria euklidesowa; teoria kontinuum; model kontinuum; teoria pola; fizyka matematyczna

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2008
• Tom: Vol. 13
• Strony: 33--42
• Opis fizyczny: Bibliogr. 48 poz., rys.

Twórcy

autor

Povstenko J.

• Institute of Mathematics and Computer Science Jan Długosz University of Częstochowa, al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

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